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Finding the Fourth Proportional to 113,694.14, 170,512.12 and 33,713.40

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Solution

The fourth proportional to 113,694.14, 170,512.12 and 33,713.40 is: 50,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,694.14 : 170,512.12 = 33,713.40 : x
  2. Step 2: Convert to fraction form
    113,694.14/170,512.12 = 33,713.40/x
  3. Step 3: Cross multiply
    113,694.14x = 170,512.12 × 33,713.40
  4. Step 4: Simplify right side
    113,694.14x = 5,748,543,306.41
  5. Step 5: Solve for x
    x = 5,748,543,306.41/113,694.14
  6. Step 6: Final answer
    x = 50,561.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.